281 citations · 2.6k across the 85 of their papers we have counts for
87 papers
Gap Labelling for Almost Periodic Sturm-Liouville Operators
Gerald Teschl, Yifei Wang, Bing Xie +1
In this paper, we introduce a rotation number for almost periodic Sturm-Liouville operators in the spirit of Johnson and Moser. We then prove the gap labelling theorem in terms of…
On Generalized Strong and Norm Resolvent Convergence
Gerald Teschl, Yifei Wang, Bing Xie +1
We present a streamlined approach for generalized strong and norm convergence of self-adjoint operators in different Hilbert spaces. In particular, we establish convergence of asso…
Essential self-adjointness of even-order, strongly singular, homogeneous half-line differential operators
Fritz Gesztesy, Markus Hunziker, Gerald Teschl
We consider essential self-adjointness on the space of even order, strongly singular, homogeneous differential operators associated with differential exp…
Perturbation and spectral theory for singular indefinite Sturm-Liouville operators
Jussi Behrndt, Philipp Schmitz, Gerald Teschl +1
We study singular Sturm-Liouville operators of the form \[ \frac{1}{r_j}\left(-\frac{\mathrm d}{\mathrm dx}p_j\frac{\mathrm d}{\mathrm dx}+q_j\right),\qquad j=0,1, \] in $L^2((a,b)…
A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions
Iryna Karpenko, Dmitry Shepelsky, Gerald Teschl
The paper aims at developing the Riemann-Hilbert (RH) approach for the modified Camassa-Holm (mCH) equation on the line with non-zero boundary conditions, in the case when the solu…
Relative oscillation theory and essential spectra of Sturm--Liouville operators
Jussi Behrndt, Philipp Schmitz, Gerald Teschl +1
We develop relative oscillation theory for general Sturm-Liouville differential expressions of the form \[ \frac{1}{r}\left(-\frac{\mathrm d}{\mathrm dx} p \frac{\mathrm d}{\mathrm…